162775138616208 has 240 divisors, whose sum is σ = 479811883824000. Its totient is φ = 51438031583232.

The previous prime is 162775138616201. The next prime is 162775138616239. The reversal of 162775138616208 is 802616831577261.

It is a happy number.

162775138616208 is a `hidden beast` number, since 1 + 6 + 2 + 7 + 7 + 5 + 1 + 3 + 8 + 616 + 2 + 0 + 8 = 666.

It is a super-3 number, since 3×162775138616208³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (162775138616201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206322460 + ... + 207109892.

It is an arithmetic number, because the mean of its divisors is an integer number (1999216182600).

Almost surely, 2^{162775138616208} is an apocalyptic number.

162775138616208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162775138616208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239905941912000).

162775138616208 is an abundant number, since it is smaller than the sum of its proper divisors (317036745207792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

162775138616208 is a wasteful number, since it uses less digits than its factorization.

162775138616208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788374 (or 788365 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 162775138616208 in words is "one hundred sixty-two trillion, seven hundred seventy-five billion, one hundred thirty-eight million, six hundred sixteen thousand, two hundred eight".